Abstract
The mechanical behavior of zinc alloys drastically depends on strain rate and temperature, which are not constant during forming processes. During the production of zinc sheets, the slight variations of the industrial equipment parameters induce different local thermomechanical conditions. These variations could be stemming from a non-homogeneous cooling during rolling process, or local segregation of alloys and so on …. The result of these differences entails a significant scattering of material parameters as shown in (Milesi et al. J Mat Process Tech 245:134-148, 2017). This paper tackles the scattering of material parameters through an adapted Norton-Hoff behavior law. Then, four parameters have been identified with a standard Generalized Reduced Gradient method (GRG). Moreover, an exhaustive analysis of the entire rolled coil has been carried out to differentiate the variation coming from the material from the one due to the process. This study also encompasses the influence of strain rate on the forming limit diagram and therefore on the calculation of the forming limit stress diagram.
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References
Milesi M, Logé RE, Pino-Muñoz D, Jansen Y, Bouchard PO (2017) Accounting for material parameters scattering in rolled zinc formability. J Mater Process Technol 245:134–148
Diot M, Philippe MJ, Wégria J, Esling C (1999) Texture gradient in rolled zinc sheets. Scr Mater 40(11):1295–1303
Pantazopoulos G, Toulfatzis A, Vazdirvanidis A, Rikos A (2017) Fundamental aspects of rolled Zn alloy sheet formability: structure-property and failure mode relationships. Mat Sci Forum, Trans Tech Publications 879:1443–1448
Schlosser F, Schwindt C, Fuster V, Tommasi A, Signorelli JW (2017) Crystallographic texture evolution of a zinc sheet subjected to different strain paths. Metall Mater Trans A 48(6):2858–2867
Milesi M, Logé RE, Jansen Y (2014) Anisotropic behavior and formability criterion for zinc sheets. J Mater Process Technol 214(12):2869–2876
Khachiyan L (1979) A polynomial algorithm in linear programming. Dokl Akad Nauk SSSR:1093–1096
Box GEP, Müller ME (1958) A note on the generation of random normal deviates. Ann Math Stat 29(2):610–611
Keeler SP, Backhofen WA (1964) Plastic instability and fracture in sheet stretched over rigid punches. ASM Transaction 56:25–48
Haberfield AB, Boyles MW (1973) Laboratory determined forming limit diagrams. Sheet Met Ind 50:400–405 & 411
Candau N, Pradille C, Bouvard JL, Billon N (2016) On the use of a four-cameras stereovision system to characterize large 3D deformation in elastomers. Polym Test 56:314–320
Lasdon LS, Fox RL, Ratner MW (1973) Nonlinear optimization using the generalized reduced gradient method. Technical Memorandum 325, NTIS
Jansen Y (2013) Modélisation et optimisation du processus de formage de pièces en zinc. PhD, MinesParistech, Sophia-Antipolis, France
Arrieux R, Bedrin C, Boivin M (1982) Determination of an intrinsic forming limit stress diagram for isotropic metal sheets. Proceedings of the 12th Biennal Congress of the IDDRG:61–71
Matsumoto M, Nishimura T (1998) Mersenne twister, a 623-dimensionnally equidistributed uniform pseudorandom number generator. ACM Trans Model Comput Simul 8(1):3–30
Paul SK (2015) Path independent limiting in sheet metal forming. J Manuf Process 20:292–303
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Milesi, M., Lecoq, J., Pradille, C. et al. Impact of strain rate sensitivity on the identification of the material parameters scattering and on the formability of zinc sheet. Int J Mater Form 13, 203–218 (2020). https://doi.org/10.1007/s12289-019-01479-2
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DOI: https://doi.org/10.1007/s12289-019-01479-2